Warping Effects in Transverse Bending of Thin‐Walled Beams
Publication: Journal of Engineering Mechanics
Volume 113, Issue 6
Abstract
A beam theory which accounts for cross‐sectional warping caused by transverse shearing is presented. A stress resultant theory is formulated for elastic beams, and examples are provided to assess the effects of warping restraint. The ideas are extended to the case of elastoplastic warping. A numerical formulation for the analysis of the inelastic problem is presented and examples of elastoplastic warping are given.
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References
1.
Bauchan, O. A. (1985). “A beam theory for anisotropic materials.” J. Appl. Mech., 52(6), 416–422.
2.
Choi, I., and Horgan, C. O. (1977). “Saint Vennant's principle and end effects in anisotropic elasticity.” J. Appl. Mech., 44(9), 424–430.
3.
Cowper, G. R. (1966). “The shear coefficient in Timoshenko's beam theory.” J. Appl. Mech., 33(6), 335–339.
4.
Dezi, L., and Mentrasti, L. (1985). “Nonuniform bending‐stress distribution (shear lag).” J. Struct. Engrg, ASCE, 111(12), 2675–2690.
5.
Drucker, D. C. (1956). “The effect of shear on the plastic bending of beams.” J. Appl. Mech., 23(4), 509–514.
6.
Foutch, D. A., and Chang, P. C. (1982). “A shear lag anomaly.” J. Struct. Div., ASCE, 108(7), 1653–1658.
7.
Hjelmstad, K. D., and Popov, E. P. (1983). “Seismic behavior of active beam links in eccentrically braced frames.” Report No. UCB/EERC‐83/15, Univ. of California, Berkeley, Calif.
8.
Horgan, C. O. (1972). “On Saint Vennant's principle in anisotropic elasticity.” J. Elast., 2, 169–180.
9.
Love, A. E. H., (1944). The mathematical theory of elasticity, 4th edition, Dover Publications, New York, N.Y.
10.
Massonnet, C. E. (1983). “A new approach (including shear lag) to elementary mechanics of materials.” Int. J. Solids Struc., 19(1), 33–54.
11.
Reissner, E. (1946). “Analysis of shear lag in box beams by the principle of minimum potential energy.” Quart. Appl. Math., 4(3), 268–278.
12.
Simo, J. C. (1982). “A consistent formulation of nonlinear theories of elastic beams and plates.” Report No. UCB/SESM‐82/06, Univ. of California, Berkeley, Calif.
13.
Simo, J. C., Hjelmstad, K. D., and Taylor, R. L. (1984). “Numerical formulations of elasto‐viscoplastic response of beams accounting for the effect of shear.” Comp. Methods in Appl. Mech. and Engrg., 42, 301–330.
14.
Simo, J. C., and Taylor, R. L. (1985). “A return mapping algorithm for plane stress elastoplasticity.” Report No. UCB/SESM‐85/04, Univ. of California, Berkeley, Calif.
15.
Vlazov, V. Z. (1961). Thin walled elastic beams. Israel Program for Scientific Translation, Jerusalem.
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Copyright © 1987 ASCE.
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Published online: Jun 1, 1987
Published in print: Jun 1987
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